which problem is best modeled by the equation 1/2 divided by8=n

a. if 8 people each ate 1/2 a cantaloupe, how many cantaloupes did they eat in all?
b. if 1/2 of the boys on a basketball team are over six feet tall and there are 8 boys on the team, how many are over six feet tall?
c. if 1/2 of the students in joe’s math class earned as on the last test and 8 students earned as, how many students are in the class?
d. if 8 friends are going to share a 1/2 tub of popcorn, what fraction of the tub will each person eat?

The answer is:

D. If 8 friends are going to share a 1/2 tub of popcorn, what fraction of the tub will each person eat?

We are looking for the problem which is best modeled by the given equation, so, the only problem that can be solved using the given equation is:

D. "If 8 friends are going to share a 1/2 tub of popcorn, what fraction of the tub will each person eat?"

To solve the problem, we need to divide the available tub of popcorn (1/2) by the number of persons who want to share it (8), so, calculating we have:

We have that the fraction of the tube that will each person it is 1/16 of the popcorn tube.

For the other given options, we can solve it in the following way:

A.

To solve the problem, we need to multiply the number of people by the number of cantaloupes that each will eat, so:

B.

To solve the problem, we need to multiply the total number of boys by the fraction of boys that are over six feet tall, so:

C.

To solve the problem, we need to divide the number of students by the number of students that have earned As, so:

Hence, we have that the problem that can be modeled by the given equation is:

D. "If 8 friends are going to share a 1/2 tub of popcorn, what fraction of the tub will each person eat?"

Have a nice day!